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\left(x^{2}-5x\right)\left(x-7\right)
Use the distributive property to multiply x by x-5.
x^{3}-7x^{2}-5x^{2}+35x
Apply the distributive property by multiplying each term of x^{2}-5x by each term of x-7.
x^{3}-12x^{2}+35x
Combine -7x^{2} and -5x^{2} to get -12x^{2}.
\left(x^{2}-5x\right)\left(x-7\right)
Use the distributive property to multiply x by x-5.
x^{3}-7x^{2}-5x^{2}+35x
Apply the distributive property by multiplying each term of x^{2}-5x by each term of x-7.
x^{3}-12x^{2}+35x
Combine -7x^{2} and -5x^{2} to get -12x^{2}.